Relative quantum information theory. Quantum information encoded in relative degrees of freedom of multiple quantum systems offers striking advantages in communication and cryptography: it is immune to common types of noise and does not require reference systems shared between parties. This project aims to formulate a theory of relative quantum information, to develop practical information processing protocols that take advantage of relative encodings, and to propose proof-of-principle experim ....Relative quantum information theory. Quantum information encoded in relative degrees of freedom of multiple quantum systems offers striking advantages in communication and cryptography: it is immune to common types of noise and does not require reference systems shared between parties. This project aims to formulate a theory of relative quantum information, to develop practical information processing protocols that take advantage of relative encodings, and to propose proof-of-principle experiments in quantum optics that reveal these advantages. Expected outcomes include powerful communication and cryptographic protocols, a design for programmable quantum computation, and a fundamentally relative theory of quantum information connecting with other foundational fields of physics.Read moreRead less
Algebraic Structures in Mathematical Physics and Their Applications. Algebraic structures such as affine (super)algebras, quantised algebras and vertex operator algebras are among the most important discoveries in mathematics. They provide a universal common algebraic framework underlying applications in a wide range of physics (eg. statistical mechanics, string theory, condensed matter physics etc.) leading to a high level of research activity worldwide. The project harnessess the high level ....Algebraic Structures in Mathematical Physics and Their Applications. Algebraic structures such as affine (super)algebras, quantised algebras and vertex operator algebras are among the most important discoveries in mathematics. They provide a universal common algebraic framework underlying applications in a wide range of physics (eg. statistical mechanics, string theory, condensed matter physics etc.) leading to a high level of research activity worldwide. The project harnessess the high level of expertise in mathematical physics across Australia to focus on exciting new developments in the theory of these algebraic structures and their application to physics, thus ensuring Australia plays a leading role in this rapidly expanding field.Read moreRead less